Chapter 3: Derivatives

Chapter 3: Derivatives

Strive for Five!

If a particle is moving right (forward), then v(t) … Strive for Five!

Strive for Five! If f(x) is differentiable for all values of x, then the graph of f(x) is...

A particle is changing directions when… Strive for Five!

If a particle is speeding up, then … Strive for Five!

A particle is standing still when … Strive for Five!

Strive for Five! If the graph of f(x) is DECREASING, then the graph of f’(x) is __________.

If f(x) is continuous but the derivative of f(x) is undefined then the following things could exist… Strive for Five!

Strive for Five! If the graph of the derivative is negative, then the graph of the function is ________.

When is net change in position (displacement) and total distance traveled the same? Strive for Five!

If a particle is moving left, then v(t)… Strive for Five!

Strive for Five! If the graph of the derivative is positive, then the graph of the function is ________.

Strive for Five! Given function u(x) and v(x),

If a particle is slowing down, then … Strive for Five!

Strive for Five! If the graph of a function is increasing, then the graph of the derivative is ______.

Strive for Five! If the graph of a function is decreasing, then the graph of the derivative is ______.

How do you find the average acceleration on [a,b] given the velocity function v(t)? Strive for Five!

How do you find the average velocity on [a,b] given the position function, s(t)? Strive for Five!

Strive for Five! If the graph of f(x) has an extrema at x= b, then the graph of f’(x) has a _________ at x = b.

Strive for Five! Given function u(x) and v(x),

Strive for Five! In what case would the graph of f ’(x) have a zero at x = b, and the graph of f(x) not have an extrema at x = b.